Positively charged particles X and Y are initially far away from each other and at rest. X begins to move towards Y with some initial velocity. The total momentum and energy of the system are p and E respectively. Which of the following statement is correct?

1. If Y is fixed, both p and E are conserved.

2. If Y is fixed, E is conserved, but not p.

3. If both are free to move, p is conserved but not E.

4. If both are free, E is conserved, but not p.

A body is falling freely under the action of gravity alone in vacuum. Which of the following quantities remains constant during the fall?

1. Kinetic energy

2. Potential energy

3. Total mechanical energy

4. Total linear momentum

During inelastic collision between two bodies, which of the following quantities always remain conserved?

1. Total kinetic energy

2. Total mechanical energy

3. Total linear momentum

4. Speed of each body

A body is moving unidirectionally under the influence of a source of constant power supplying energy. Which of the diagrams shown in the figure correctly shows the displacement-time curve for its motion?

1.		2.
3.		4.

Which of the diagrams shown in the figure most closely shows the variation in kinetic energy of the earth as it moves once around the sun in its elliptical orbit?

1.		2.
3.		4.

Which of the diagrams shown in the figure represents the variation of to mechanical energy of a pendulum oscillating in the air as a function of time.

1.		2.
3.		4.

A mass of \(5~\text {kg}\) is moving along a circular path of radius \(1~\text {m}\). If the mas moves with \(300~\text {rev/min}\), its kinetic energy would be
1. \(250 \pi^2~\text{J}\)
2. \(100 \pi^2~\text{J}\)
3. \(5 \pi^2~\text{J}\)
4. \(0\)